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**
Commutativity
**

We studied that

Commutativity (link) over addition is

2 + 3 = 3 + 2

We can also write this as variables

a + b = b + a

Similarly,

Commutativity (link) over multiplication is

4 × 5 = 5 × 4

We can also write this as variables

a × b = b × a

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**
Associativity
**

Similarly,

Associativity (link) over addition is

(2 + 5) + 4 = 2 + (5 + 4)

7 + 4 = 2 + 9

11 = 11

We can also write this as variables,

(a + b) + c = a + (b + c)

And,

Associativity (link) over multiplication is

(3 × 4) × 5 = 3 × (4 × 5)

12 × 5 = 3 × 20

60 = 60

We can also write this as variables

(a × b) × c = a × (b × c)

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**
Distributivity
**

Also,

Distributivity is

7 × (30 + 8) = 7 × 30 + 7 × 8

Writing in variables

a × (b + c) = a × b + a × c